ABSTRACT

This book presents the fundamentals of nonlinear mechanics within a modern computational approach based mainly on finite element methods. Both material and geometric nonlinearities are treated. The topics build up from the mechanics of finite deformation of solid bodies through to nonlinear structural behaviour including buckling, bifurcation and snap-through. The principles are illustrated with a series of solved problems. This book serves as a text book for a second year graduate course and as a reference for practitioners using nonlinear analysis in engineering and design.

chapter 1|6 pages

Introduction

chapter 2|40 pages

Kinematics of nonlinear deformation

chapter 3|28 pages

Stresses in deformable bodies

chapter 4|10 pages

Work and virtual work

chapter 5|36 pages

Elastic material properties

chapter 6|16 pages

Stress invariants and material tests

chapter 7|54 pages

Elastoplastic material models

chapter 8|44 pages

Nonlinear solid finite elements

chapter 9|38 pages

Kinematics of large rotations

chapter 10|48 pages

Structural elements

chapter 11|24 pages

Solution methods

chapter 12|22 pages

Soft computing in computational mechanics